A new machine makes three times as many toys in one hour as the old machine did it both machines make a total of 248 toys in one hour how many toys does the new machine make in one hour

Answer: x=-4

Step-by-step explanation:

-4x=16

Divide by -4 on each side to cancel it out

x=-4

The expression (X - Y) 5 ÷ 8 - 1 ÷ 4 (X + Y) is equivalent to

(20X² - 20Y² - 1) / (4X + 4Y)

We have,

We can simplify the given expression as follows:

(X - Y) 5 ÷ 8 - 1 ÷ 4 (X + Y)

= (5X - 5Y) ÷ 8 - 1 ÷ (4X + 4Y)

[distributing the factors]

= (5X - 5Y) /8 - 1/(4X + 4Y)

[finding a common denominator]

= ((5X - 5Y)(4X + 4Y) - 1)/(4X + 4Y)

= (20X² + 20XY - 20XY - 20Y² - 1) / (4X + 4Y)

= (20X² - 20Y² - 1) / (4X + 4Y)

Therefore,

The expression (X - Y) 5 ÷ 8 - 1 ÷ 4 (X + Y) is equivalent to

(20X² - 20Y² - 1) / (4X + 4Y)

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Answer:

0.03, 0.06, 0.2, 0.76, 1

Step-by-step explanation:

Answer:

4x - 3 - 2x + 5 = 6 - 3x + 2 + 5x

2x + 2 = 2x + 8

2 ≠ 8, so this equation has no solutions.

Answer:

No solution

Step-by-step explanation:

Given:

\(4x-3-2x+5=6-3x+2+5x\)

rearrange terms so like terms are together

\(4x-2x-3+5=6+2-3x+5x\)

combine like terms

\(2x+2=8+2x\)

subtract 2x to both sides

\(2\neq 8\)

2 doesn't equal 8, meaning that there are 0 solutions to this problem.

Hope this helps! :)

Answer:I would think u would

Step-by-step explanation:42,500×26

Answer:

1634.62$

Step-by-step explanation:

P=S/n

P=42500/26=1634.62

\(-2x+6=12\\2x=-6\\x=-3\)

Step-by-step explanation:

7.8 ×1000=7800.

1.2×10000=12000.

7800÷12000=0.65.

The teacher's question, the student can provide a List of words including "sixty," "zesty," "skit," "site," "size," "exit," "yeti," "kits," "kite," and "ties."

Let unscramble the jumbled word "gzeysktqix" and find the possible words that can be formed.

Upon unscrambling, we can find several possible words:

1. Sixty

2. Zesty

3. Skit

4. Site

5. Size

6. Exit

7. Yeti

8. Kits

9. Kite

10. Ties

These are some of the words that can be formed from the jumbled letters "gzeysktqix." There may be additional words that can be created, depending on the specific rules or restrictions given by the teacher.

Unscrambling words can be a fun and challenging exercise that helps improve vocabulary, word recognition, and problem-solving skills. It allows students to enhance their language abilities and discover new words they might not have known before.

Remember, the key is to rearrange the given letters systematically and try different combinations until meaningful words are formed.

So, in response to the teacher's question, the student can provide a list of words including "sixty," "zesty," "skit," "site," "size," "exit," "yeti," "kits," "kite," and "ties."

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Answer:0.9966

Step-by-step explanation:

Given

Probability that flash light does not  work is \(P_o=0.15\)

If owner has 3 three flashlights then

Probability that atleast one of them works \(=1-P(\text{none of them works})\)

Probability that flashlight will work \(=1-P_o=1-0.15\)

\(=0.85\)

Required Probability\(=1-0.15\times 0.15\times 0.15\)

\(=1-0.003375\)

\(=0.9966\)

Now, Probability that second works given that first works is given by

\(P=P(\text{First works})\times P(\text{Second works})\)

\(P=0.85\times 0.85\)

\(P=0.7225\)

Answer:

I am confident the answer is H.

Answer:

15 m. 30m

Step-by-step explanation:

there are two type

Answer:

Step-by-step explanation:

is -2(-12y+5)+4=8(3y+2)-22 a conditional equation an identity or a contradiction

-2(-12y + 5) + 4 - 8(3y - 2) + 22 = 0

24y - 10 + 4 - 24y - 16 + 22 = 0

-6 - 16 + 22

- 22 + 22 = 0

0 = 0   (All real numbers are solutions.)

Answer:

I Think its 8% decrease

Answer:

The answer is

Step-by-step explanation:

To find the percentage change we use the formula

\(Percentage \: \: change = \frac{change}{original \: quantity} \times 100\)

To find the change subtract the lesser one from the larger one

Original price = $ 52

Current price = $ 47.82

Change = 52 - 47.82 = $ 4.18

Substitute the values into the above formula

Percentage change is

\( \frac{4.18}{52} \times 100\)

We have the final answer as

Percentage change = 8%

Since the current price was lesser than the original price there is a percentage decrease in the amount

Answer:

a

Step-by-step explanation:

Using the Factor Theorem, the function factored into linear factors is given as follows:

\(3x^2 + 23x^2 - 35x + 9 = 3(x + 9)(x - 1)\left(x - \frac{1}{3}\right)\)

The Factor Theorem states that a polynomial function with roots \(x_1, x_2, \codts, x_n\) is given by:

\(f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)\)

In which a is the leading coefficient.

-9 is a zero of f(x), hence \(x_1 = -9\) and:

3x³ + 23x² - 35x + 9 = (x + 9)(ax² + bx + c)

ax³ + (b + 9a)x² + (9b + c)x + 9c = 3x³ + 23x² - 35x + 9

The coefficients are given as follows:

Hence:

3x³ + 23x² - 35x + 9 = (x + 9)(3x² - 4x + 1)

\(3x^2 + 23x^2 - 35x + 9 = 3(x + 9)(x - 1)\left(x - \frac{1}{3}\right)\)

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Answer: 24 problems done before dinner

Step-by-step explanation:

Take the 32 total math problems and divide it by 3/4 (the amount of problems done before dinner) getting you 24 problems done before dinner

Answer:

6/5 x 5/3 is 2

if that's what you need help with

step-by-step explanation

(A) The rate of making coffee by coffee maker  is 6 mL/second.

(B) The rate of making juice by juice maker is 8 mL/second.

(C) Juice is being made at a faster rate.

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

The rate of coffee made by coffee maker is represented by,

y = 6x       (1)

Here, y represents the amount of coffee in mL and x represents the time passed in seconds.

Also, The rate of juice made by juice make can be represented by the given table as,

k = 8h     (2)

Here, k represents the amount of juice in mL and h represents the time passed in seconds.

(A)

To find the rate of making coffee, solve the equation (1),

y = 6x

⇒ y/x = 6 mL/second

The rate of making coffee by coffee maker  is 6 mL/second.

(B)

To find the rate of making juice, solve the equation (2),

k = 8h

⇒ k/h = 8 mL/second

The rate of making juice by juice maker is 8 mL/second.

(C)

Since, the juice is made at the rate of 8 mL/second and the coffee is made at the rate of 6 mL/second.

Therefore, juice is being made at a faster rate.

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Answer:

3.19% crew were absent

4. Rangers played 162 games

Step-by-step explanation:

Answer:

85 75/145 calories

so about 85.5

Step-by-step explanation:

To get the answer, we are splitting the sugar into cookies, where each cookie will have the same amount of sugar. This means we divide.

The answer is 85 75/145 calories

so about 85.5

Hope this helps :-)

Answer:

0.7517 = 75.17% probability that the mean IQ of the 3 North Catalina students is at least 5 points higher than the mean IQ of the 3 Chapel Mountain students

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

North Catalina:

Population has mean 130 and standard deviation 8 points. Sample of 3. This means that:

\(\mu_{N} = 130, s_{N} = \frac{8}{\sqrt{3}} = 4.6188\)

Chapel Mountain:

Population has mean 120 and standard deviation 10 points. Sample of 3. This means that:

\(\mu_{C} = 120, s_{C} = \frac{10}{\sqrt{3}} = 5.7735\)

What is the probability that the mean IQ of the 3 North Catalina students is at least 5 points higher than the mean IQ of the 3 Chapel Mountain students?

We want that: \(N - C > 5\)

Distribution N - C:

The mean is:

\(\mu = \mu_N - \mu_C = 130 - 120 = 10\)

The standard deviation is:

\(s = \sqrt{s_N^2+s_C^2} = \sqrt{4.6188^2+5.7735^2} = 7.3937\)

This probability is 1 subtracted by the pvalue of Z when X = 5. So

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{5 - 10}{7.3937}\)

\(Z = -0.68\)

\(Z = -0.68\) has a pvalue of 0.2483

1 - 0.2483 = 0.7517

0.7517 = 75.17% probability that the mean IQ of the 3 North Catalina students is at least 5 points higher than the mean IQ of the 3 Chapel Mountain students

Answer:

im to young to answer this ;(

Step-by-step explanation:

Answer:

12.5cm

Step-by-step explanation:

Each side of the pentagonal  garden has a length of 2.5 cm.

A pentagon has 5 sides.

Since the garden has congruent sides, all its lengths are equal.

Therefore:

Distance Walked by Tanya

= 5 X 2.5

=12.5cm

Tanya has walked 12.5cm in total.

The difference in volume between the two boxes would be = 156in³

To calculate the difference in volume between the boxes is the find the individual volume of the boxes using the formula ;

Volume = length×width×height.

For box 1 = length = 12in, width = 7¾in, height= 2in

Vol = 12×7¾×2 = 186in³

For box 2; length = 3⅔in, width = 3½in, height= 2⅓in

Volume = 3⅔×3½×2⅓ = 30

The difference = 186-30 = 156in³

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Answer:

33 units³

Step-by-step explanation:

Volume of a rectangular prism

\(\sf Volume = Area\:of\:base \times height\)

From inspection of the given diagram:

Substitute the given values into the formula and solve for volume:

\(\begin{aligned}\sf \implies Volume & = \sf 9 \times 3 \dfrac{2}{3}\\\\& = \sf 9 \times \dfrac{3 \times 3+2}{3}\\\\& = \sf 9 \times \dfrac{11}{3}\\\\& = \sf \dfrac{9 \times 11}{3}\\\\& = \sf \dfrac{99}{3}\\\\& = \sf \dfrac{33 \times \diagup\!\!\!\!3}{\diagup\!\!\!\!3}\\\\& = \sf 33\:units^3 \end{aligned}\)

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\(\boxed{\sf Volume=Area\:of\:base\times Height}\)

\(\\ \tt\dashrightarrow Volume=9\times3 \dfrac{2}{3}\)

\(\\ \tt\dashrightarrow Volume=9\times \dfrac{11}{3}\)

\(\\ \tt\dashrightarrow Volume=3(11)\)

\(\\ \tt\dashrightarrow Volume=33units³\)

Answer: 2/90 = 1/45

Step-by-step explanation:

Answer:

C.

Step-by-step explanation: